Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleQ to the nearest whole degree? 43° 49° 53° 58°

Answers

Answer 1

The measure of angle Q in the triangle QMN is 52.83°

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

For a triangle with sides a, b, c and respective opposite angles A, B, C, cosine rule is:

a² = b² + c² - 2bc * cos(A)

In triangle QMN, QM = 18, MN = 17, QN = 20, hence:

17² = 18² + 20² - 2(18)(20) * cos(Q)

Q = 52.83°

The measure of angle Q in the triangle QMN is 52.83°

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Answer 2

Answer:

53

Step-by-step explanation:

its rounded


Related Questions

6x^2+12x=5x-2
solve the quadratic by factoring

Answers

[tex]6x^2+12x=5x-2\\6x^2+7x+2=0\\6x^2+3x+4x+2=0\\3x(2x+1)+2(2x+1)=0\\(3x+2)(2x+1)=0\\x=-\dfrac{2}{3} \vee x=-\dfrac{1}{2}[/tex]

A theme park ride carriage with a mass off 1000kg when empty needs to be accelerated at 0.5m/s2 along a horizontal track. What force is required to accelertae the empty ride carriage

Answers

Answer:

Required force (F) = 500 N

Step-by-step explanation:

Given:

Mass of carriage (m) = 1,000 kg

Acceleration (a) = 0.5 m/s²

Find:

Required force (F)

Computation:

Required force (F) = Mass × Acceleration

Required force (F) = 1,000 kg × 0.5 m/s²

Required force (F) = 500 kg-m/s²

Required force (F) = 500 N

Answer:

Answer:

Required force (F) = 500 N

Step-by-step explanation:

Given:

Mass of carriage (m) = 1,000 kg

Acceleration (a) = 0.5 m/s²

Find:

Required force (F)

Computation:

Required force (F) = Mass × Acceleration

Required force (F) = 1,000 kg × 0.5 m/s²

Required force (F) = 500 kg-m/s²

Required force (F) = 500 N

THANKS

1

3.0

(2 votes)

Step-by-step explanation:

Given:

Mass of carriage (m) = 1,000 kg

Acceleration (a) = 0.5 m/s²Find:Required force (F)Computation:Required force (F) = Mass × AccelerationRequired force (F) = 1,000 kg × 0.5 m/s²

Required force (F) = 500 kg-m/s²

Required force (F) = 500 N

An online company wants to establish ratings for the products they provide. To do so, they ask visitors to their website to evaluate the products and leave a "thumbs up" or a "thumbs down." What type of sample is this? Explain why.

Answers

Answer:

This is a group specific influence sample, it only shows a demographic sample of those that are influenced by the reviews in the first place.

Step-by-step explanation:

There are (43)2⋅ 40 strawberries on a farm. What is the total number of strawberries on the farm?

Answers

Answer:

3,440 strawberries

Step-by-step explanation:

Because of PEMDAS you want to start with the parentheses, and want to treat them like the distributive property.

So,

43 x 2 = 86

Then,

86 x 40 = 3440.

I hope that helps!!

Answer: 3440 strawberries on the farm.

Step-by-step explanation: (43)(2)⋅40                                                                     (86)(40)                                                                                                                     3440

1,400 is 10 times as much as 140- true or false

Answers

Answer:

True

Step-by-step explanation:

140 * 10 = 1400

True

A line passes through point (4,-3) and has a slope of 5/4. Write an equation in Ax + By = C

Answers

Answer:

The answer is

5x - 4y = 32

Step-by-step explanation:

To write an equation of a line using a point and slope use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

So we have

Equation of the line using point (4 , -3) and slope 5/4 is

[tex]y + 3 = \frac{5}{4} (x - 4)[/tex]

Multiply through by 4

4y + 12 = 5(x - 4)

4y + 12 = 5x - 20

5x - 4y = 20 + 12

The final answer is

5x - 4y = 32

Hope this helps you

HELP ASAP PLEASE!!!!!!!!!!!!!!!!!

Answers

Answer:

A

C

D

Step-by-step explanation:

√54 or√9 *√6 or √27 *√4

are equal to the answer.

You can do that by doing the square of outer number which is 3 which equals to 9 when squared and multiplying that with the number inside the square root.

HELPPPPPOPP ASAPPPPPPPPP PLEASSSEEEEEEE

Answers

Answer:

-11 - 5z = 6(5z + 4)

-11 - 5z = 30z + 24

-35 = 35z

z = -1

0 = -5y - 2y

5y = -2y

5 = -2

no solutions

5 of 17Questions Question 5 Safiya needs to find a number that can be multiplied by 18−−√3 to result in a rational product. Which values could she use? Select all that apply.

Answers

Answer:

18 + √3

Step-by-step explanation:

The product of a surd and its conjugate gives a rational number. Hence;

(18 - √3) (18 + √3)

=324 + 18√3 - 18√3 - 3

=321

A rational number does not contain any surd, hence the answer.

Answer: cube root 1/18 & cube root 12

(3-1) (4+2) + 9 - 3 I need help

Answers

Answer:

18

Step-by-step explanation:

(3-1) (4+2) + 9-3 =

2 • 6 + 6 = 12 + 6

= 18

Answer:

[tex]\displaystyle 18[/tex]

Step-by-step explanation:

[tex]\displaystyle (3 - 1)(4 + 2) + 9 - 3 = [(2)(6)] + 9 - 3 = 12 + 9 - 3 = 12 + 6 = 18\:[OR\:21 - 3 = 18][/tex]

G - Grouping Symbols

E - Exponents

M\D - Division & Multiplication [left to right]

A - Subtraction & Addition [right to left OR vice versa]

I am joyous to assist you at any time.

While traveling in England, Sonia noticed that the price of gas was 1.4 pints per liter. She wondered how that compares to the price of gas in Atlanta, where she lives. On that day, the exchange rate was £1= $1.56. Set up and evaluate a conversion expression to find the equivalent price in dollars per gallon. Use the conversion factor 1L=0.26 gal.

Answers

Answer:

The price in dollars per gallon is 8.4

Step-by-step explanation:

The ratio is a comparison between two quantities that is made using a quotient. In other words, a ratio is a comparison between two or more quantities that can be expressed as a fraction. If the quantities to be compared are a and b, the ratio between them is written as: [tex]\frac{a}{b}[/tex]

You know that the price in England is 1.4 pounds per liter and the current exchange rate is 1 pound = 1.65 dollars. So, being the following reasons:

[tex]\frac{1.4 pounds}{1 liter}[/tex][tex]\frac{1.56 dollars}{1 pound}[/tex]

and being the conversion factor 1 L = 0.26 gal expressed as a ratio:

[tex]\frac{1 liter}{0.26 gal}[/tex]

you can see that the expression to find the equivalent price in dollars per gallon is:

[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}[/tex]

Taking into account that all unwanted units of measure are canceled and solving:

[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}=\frac{2.184 dollars}{0.26gal}= 8.4 \frac{dollars}{gal}[/tex]

The price in dollars per gallon is 8.4

What is the slope of the line? x + 3 y = 10 x+3y=10x, plus, 3, y, equals, 10 Choose 1 answer: Choose 1 answer: (Choice A) A 1 3 3 1 ​ start fraction, 1, divided by, 3, end fraction (Choice B) B 1 10 10 1 ​ start fraction, 1, divided by, 10, end fraction (Choice C) C − 1 10 − 10 1 ​ minus, start fraction, 1, divided by, 10, end fraction (Choice D) D − 1 3 − 3 1 ​

Answers

Answer:

-1/3

Step-by-step explanation:

The standard from of equation of a line written in slope-intercept format is expressed as y = mx+c where c is the slope of the line and c is the y-intercept.

Given the equation of the line x+3y = 10, to get the slope of the line, we need write he equation in standard from first by making y the subject of the formula as shown;

[tex]x+3y = 10\\\\subtract\ x \ from \ both \ sides\\\\x+3y-x = 10 -x\\\\3y = -x+10\\\\Divide \ through\ by \ 3\\\\\frac{3y}{3} = -\frac{x}{3} +\frac{10}{3} \\\\[/tex]

[tex]y = -\frac{1}{3}(x) +\frac{10}{3} \\[/tex]

Comparing the resulting equation with y = mx+c, the slope 'm' of the equation is -1/3

The slope of the line is -1/3.

the correct option is D.

To find the slope of the line given by the equation x + 3y = 10, we need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope.

Let's rearrange the equation to solve for y:

x + 3y = 10

3y = -x + 10

y = (-1/3)x + 10/3

Comparing this equation to the slope-intercept form, we can see that the coefficient of x (-1/3) represents the slope.

Therefore, the slope of the line is -1/3.

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Use the discriminant to determine the number of real solutions to the equation. −8m^2+2m=0

Answers

Answer:

discriminant is b²-4ac

= 2²-4(-8)(0)

= 0

one solution

hope this helps :)

A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols.Choose the correct answer below.A. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at least 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≥3.5."B. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≤3.5."C. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is equal to 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ=3.5."D. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is not 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≠3.5."

Answers

Answer:

The correct option is (C).

Step-by-step explanation:

The claim made by the golf analyst is:

Claim: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes.

A standard deviation test is to be performed.

The hypothesis for the test will be defined as follows:

H₀: The standard deviation of the 18-hole scores for a golfer is 3.5 strokes, i.e. σ = 3.5.

Hₐ: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes, i.e. σ ≤ 3.5.

Thus, the correct option is (C).

Describe the transformation. A. (x,y)→(x+5,y−3) B. (x,y)→(x−3,y+5) C. (x,y)→(x+3,y−5) D. (x,y)→(x−5,y+3)

Answers

Answer:

Option(A)

Step-by-step explanation:

From the graph attached,

Quadrilateral USTR has been transformed to get the image quadrilateral U'S'T'R'.

Coordinates of point U → (-2, 6)

Coordinates of point U' → (3, 3)

Coordinates of U and U' show that quadrilateral USTR has been shifted by 5 units to the right and 3 units down.

Rule to be followed for the translation,

U(-2, 6) → U'[(-2 + 5), (6 - 3)]

U(x, y) → U'[(x + 5), (y - 3)]

Therefore, Option (A) describes the correct rule of transformation.

Legolas shoots 3 arrows at once from his bow. He has 177 arrows. How many times can Legolas shoot his bow before he needs more arrows?

Answers

Answer:

59

Step-by-step explanation:

3x=177

3x represents the # of arrow he can shoot at once every time

177 represents the total # of arrow he has

Answer:

59

Step-by-step explanation:

177/3=59

8 times the sum of a and b

Answers

Answer:

c

Step-by-step explanation:

i did the quiz

Answer:

8(a + b)

Step-by-step explanation:

Sun of a and b = a + b

8 times of (a + b) = 8(a + b)

hi! i need to know the cube root of minus one!! just let me know down there!

Answers

Answer:

[tex]\large \boxed{\mathrm{-1}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{-1}[/tex]

Apply radical rule:

[tex]\sqrt[n]{-1}=-1[/tex]

If [tex]n[/tex] is odd.

[tex]\sqrt[3]{-1}=-1[/tex]

(-9) - 9n= (-45) please helpppp!

Answers

Answer: n=4

Step-by-step explanation:

[tex]\left(-9\right)-9n=\left(-45\right)[/tex]

add 9 to both sides

[tex]-9-9n+9=-45+9[/tex]

[tex]-9n=-36[/tex]

divide both sides by -9

[tex]n=4[/tex]

Brainliest please

━━━━━━━☆☆━━━━━━━

▹ Answer

n = 4

▹ Step-by-Step Explanation

(-9) - 9n = (-45)

Simple terms are written last:

-9 - 9 = -45

Group all the variable terms on one side, and all the constant terms on the other side:

(-9n - 9) + 9 = -45 + 9

n = 4

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Which value of x makes the following matrix equation true?

Answers

Answer:

[tex]\large \boxed{{x=-3}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

Evaluate 1 3 m − 1 − 1 2 n 3 1 ​ m−1− 2 1 ​ nstart fraction, 1, divided by, 3, end fraction, m, minus, 1, minus, start fraction, 1, divided by, 2, end fraction, n when m = 2 1 m=21m, equals, 21 and n = 1 2 n=12n, equals, 12.

Answers

Answer:

  0

Step-by-step explanation:

Apparently, you want the value of ...

  [tex]\dfrac{1}{3}m-1-\dfrac{1}{2}n = \dfrac{m}{3}-\dfrac{n}{2}-1\\\\=\dfrac{21}{3}-\dfrac{12}{2}-1=7-6-1\\\\=\boxed{0}[/tex]

The value of the given expression for the given variable values is zero.

Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)

Answers

Answer:

1. 1/12x

2.1/6x

3. 18

Step-by-step explanation:

Let

x=number of crackers in the box

On Monday, Alexander are 1/2 of the crackers

1/2 of x

=1/2x

Remaining

x-1/2x=2x-1/2

=1/2x

Tuesday=1/2 of what was left

=1/2 of 1/2x

=1/2×1/2x

=1/4x

Remaining

1/2x-1/4x

=2x-x/4

=1/4x

Wednesday=1/3 of what was left

=1/3 of 1/4x

=1/12x

Remaining

1/4x-1/12x

=3x-x/12

=2/12x

=1/6x

1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?

1/12x

2. what fractional part of the total crackers originally in the box are left.

1/6x

3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.

1/6x=3

Divide both sides by 1/6

1/6x ÷ 1/6 = 3 ÷ 1/6

x=3÷1/6

=3 × 6/1

=18

x=18

Answer:

1) 1/12

2) 1/6

3) 18

Step-by-step explanation:

Solve A=1/2(bh) for h

Answers

Answer: 2A/b = h

Step-by-step explanation: First, get rid of the fraction by multiplying both sides of the equation by 2. That gives us 2A = bh.

Don't be thrown off by the capital A in this problem.

Just treat it like any other variable.

To get h by itself on the right side of the equation, we now simply

divide both sides of the equation by b and our answer is 2A/b = h.

Take a look back at the formula now in the

original problem, A = 1/2bh, does that look familiar?

To celebrate the first day of a leap year, I taught my dog to jump through a hoop. It was a Sunday. When he taught me the same trick the first day of the next year, it was a ?

Answers

Answer:

Tuesday

Step-by-step explanation:

364/7 = 52, meaning that 364 days later will also be a Sunday. 2 days after that (366 as it is a leap year) would be a Tuesday.

There will be Tuesday when the dog jumps the next year.

What is the reasoning?

the process of applying logical reasoning to examine a situation in order to identify the optimal strategy for solving a specific problem, then using this approach to develop and justify a solution.

Reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Since when the dog jumped it was Sunday

Next Sunday will be at

364/7 = 52

So, after 52 weeks or 364 days, there will be next Sunday.

Since leap year is 366 days years

366 - 364 = 2

So, two days after Sunday is Tuesday.

Hence the day after next year when the dog jump will be Tuesday.

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Help I dont understand this

Identify any transformations that are used in each image below.
Some images may have multiple answers so make sure to include them all.

-Reflections - how many lines of symmetry and what specific type: vertical (y-axis), horizontal (x-axis), diagonal (y=x or y=-x)
-Rotations - of which order or how many degrees/angle of rotation

Answers

a. Reflectional symmetry only. The mirror line is vertical along the center of the sunglasses. The left half mirrors over this line to get the right half, and vice versa. There isn't any rotational symmetry because we can't rotate the glasses (some angle between 0 and 360 exclusive of both endpoints) to have the image be the same as the preimage.

---------------------

b. Rotational symmetry only. The puzzle can be rotated 90 degrees and the before and after image will be the exact same. There isn't any reflectional symmetry here.

----------------------

c. Reflectional symmetry and rotational symmetry. Effectively a combination of parts a) and b). We have a horizontal line of symmetry to go with a vertical one. The angle of rotation is 180 degrees.

----------------------

d. Reflectional symmetry and rotational symmetry.  Similar to part c). This time the angle of rotation is 360/3 = 120 degrees. There are 3 lines of symmetry and they all pass through a vertex of the triangle, and the symmetry lines are perpendicular to the opposite side.

----------------------

e. Reflectional symmetry and rotational symmetry. We can rotate 180 degrees and not change the image. There are two lines of symmetry which pass through the center, one line is horizontal and the other vertical.

-----------------------

f. Rotational symmetry only. We don't have reflectional symmetry due to the smaller petals not matching up when reflections happen. But we can rotate the figure 120 degrees the same way we can with figure d.

Please solve, -37-2v= -6(2v-3)-5​

Answers

Answer:

[tex]\huge\boxed{v=5}[/tex]

Step-by-step explanation:

[tex]-37-2v=-6(2v-3)-5\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\-37-2v=(-6)(2v)+(-6)(-3)-5\\\\-37-2v=-12v+18-5\\\\-37-2v=-12v+(18-5)\\\\-37-2v=-12v+13\qquad\text{add 37 to both sides}\\\\-37+37-2v=-12v+13+37\\\\-2v=-12v+50\qquad\text{add}\ 12v\ \text{to both sides}\\\\-2v+12v=50\\\\(-2+12)v=50\\\\10v=50\qquad\text{divide both sides by 10}\\\\\dfrac{10v}{10}=\dfrac{50}{10}\\\\v=5[/tex]

Answer:

v = 5

Step-by-step explanation:

-37 -2v = -6 (2v - 3) - 5

-2v - 37 = -6 (6*2v - 6*3) - 5

-2v - 37 = - (12v - 18) - 5    combine like terms

-37 - 18 + 5 =  -12v + 2v

-50 = -10v

v = -50 / -10

v = 5

-when finding data as well as plotting data, you can find relationships within the data
displayed in charts or graphs, noticing the relationships can help build a solution a lot
easier.

this is what they wrote. ​
just type anything if u want the points.

Answers

Answer:

I came up with the answer check my questions to see it

Step-by-step explanation:

If the angles a°&b° are complements of each other, then a°+b°= 90° 180° 270° 360°

Answers

Answer:

a + b = 90°

Step-by-step explanation:

If sum of two angles are 90°, then the two angles are complementary

Answer: 90

Angles that are complements form corners. I've bolded the "co" letters to help remember that complementary angles form a 90 degree corner. Whereas supplementary angles form a straight line (both "supplementary" and "straight" start with "S"). So that's one way to remember the two terms.

Anyways, if a and b are complements of each other, then a+b = 90.

1/4x + 2/3 =19/12 I don’t understand how to do this equation

Answers

Answer:

X=11/13

Step-by-step explanation:

First, convert the non-variable fractions to a common denominator.

1/4x+8/12=19/12

1/4x=19/12-8/12

1/4x=11/12

x=11/12*4/1

x=44/12

x=11/3

How many equations are thereof: 70 divided by h equals 10?
What are those equations?

Answers

Answer:

We have:

"70 divided by h equals 10"

We can write it in only one equation:

70/h = 10.

This is a rational equation because our variable is in the denominator of a quotient.

To solve it we can multiply by h on both sides of the equation and get:

(70/h)*h = 10*h

70 = 10*h

now we divide both sides by 10.

70/10 = (10*h)/10

7 = h.

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Suppose the firms in a perfectly competitive industry merge to form a monopoly. Which of the following would NOT occur? a. A rise in total consumer plus producer surplus b. A deadweight loss c. A rise in producer surplus d. A fall in consumer surplus a metre rod on wedge is example of unstable equilibrium.why Which of the following statements is correct regarding the capitalization rate used for interest capitalization? Question 24 options: If the average accumulated expenditures are less than the specific borrowing amount, use the interest rate associated with the specific borrowing for the entire average accumulated expenditures If there are no specific borrowings, use the interest rate on the largest debt outstanding If the average accumulated expenditures are less than the specific borrowing amount, use the weighted-average interest rate for all other debt for the entire average accumulated expenditures If there are no specific borrowings, do not capitalize interest Solve this and get 12 points ax+r=7 , solve for x Do you think that customers are impressed with the effort that Gap has made to respond to the need to have more worker friendly suppliers? Explain your answer. please help :) Respecting and understanding different opinions promotes fill in the blank . answer choices : (value/tolerance) 1. Quadratics: The path of the longest shot put by the Womens track team at Sun Devil U is modeledby h(x) = -0.015x2 + 1.08x + 5.8, where x represents the horizontal distance from the start and h(x) isthe height of the shot put above the ground. (Both x and h(x) are measured in feet.)a. [3 pts] Determine h(24). Round your answer to 2 decimal places. Two sources of light of wavelength 700 nm are 9 m away from a pinhole of diameter 1.2 mm. How far apart must the sources be for their diffraction patterns to be resolved by Rayleigh's criterion represent 1/3 and 5/2 on the same number line PLZ HELPOne exception to thr warrant requirement ?The word is made of 9 letters and the 2nd on is L. Use the first four terms of the binomial theorem to approximate 2.2^7 A. 248.96 B. 248.4688C. 23.424D. 249.4357888 please explain the steps to how you got your answer thank you!! what does Irregardless mean Suppose a monopolist's costs and revenues are as follows: ATC = $50.00; MC = $35.00; MR = $45.00; P = $55.00. The firm should what is the method or solution to this question (3)x-1=81x How were the Olive Branch Petition and Common-Sense representative of the Loyalist and Patriot points of view? All the following requirements must be satisfied before premiums are waived under a waiver-of-premium provision EXCEPT: Group of answer choices The insured must satisfy the definition of disability in the policy. The insured must furnish proof of disability to the insurer. The insured must satisfy a 2-year waiting period. The insured must be disabled before some predetermined age, such as age 60 or 65. Two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in Figure 1. The distance from W to H is 45 inches. Then the same two tiles are rearranged at the top and at the base of the door frame, as shown in Figure 2. The distance from Y to Z is 37 inches. What is the height of the door frame, in inches? Jaime went to the mall with $42. If he bought a T-shirt and had $18 left, how much did the T-shirt cost Jaime in dollars? 2. El sentido contextual de la palabra SUBSUMIR esA) Abarcar.B) Mediar.C) Potenciar.D) Describir.E) Demostrar.